Assuming it is an 80 sided REGULAR polygon, each exterior angle is 360/80 degrees = 4.5 degrees. So each interior angle = 180 - 4.5 = 175.5 degrees.
octacontagon is an 80-sided polygon
Ah, a 101-sided polygon is called a "hectacontakaihenagon." Isn't that a lovely name? Just imagine all those sides coming together to create a beautiful shape on your canvas. Remember, every shape is unique and special in its own way.
The following are angles in a convex quadrilateral: Angle A = 80 degrees Angle B = 98 degree Angle C = 70 degrees What is the measure of the missing angle?
Any angle between 0 degrees and 90 degrees is called an "acute" angle.
Well, isn't that just a happy little question! An 87-sided polygon is called an octacontaheptagon. Just imagine all those lovely angles and sides coming together in perfect harmony on your canvas of geometry. Remember, there are no mistakes in math, just happy little miscalculations waiting to be corrected.
octacontagon is an 80-sided polygon
Exterior angle = 360/80 = 4.5 degrees. Interior angle = 180 - 4.5 = 175.5 degrees. And, a regular polygon has to be convex.
The formula for the size of the interior angle for a regular polygon is 180°(n-2)/n, where n is the number of edges, i.e. a whole number. If we set this equal to 80° then we get 180°(n-2)/n=80°180°n-360°=80°n100°n=360°n=3.6which isn't a whole number. So no regular polygon can have an interior angle of size 80°.
Octacontagon
To calculate the number of diagonals in an 80-sided polygon, you can use the formula: ( \frac{n(n - 3)}{2} ), where ( n ) is the number of sides. For an 80-sided polygon, this becomes ( \frac{80(80 - 3)}{2} = \frac{80 \times 77}{2} = 3080 ). Therefore, an 80-sided shape has 3,080 diagonals.
I find the name "30-sided polygon", "40-sided polygon", etc. just fine.
Ah, a 101-sided polygon is called a "hectacontakaihenagon." Isn't that a lovely name? Just imagine all those sides coming together to create a beautiful shape on your canvas. Remember, every shape is unique and special in its own way.
The following are angles in a convex quadrilateral: Angle A = 80 degrees Angle B = 98 degree Angle C = 70 degrees What is the measure of the missing angle?
To find the value of ( n ), we can use the formula for the interior angle of a regular polygon, which is given by ( \frac{(n-2) \times 180}{n} ). According to the problem, if the number of sides is increased by 2, the new interior angle becomes ( X + 87 ). Therefore, we can set up the equation: [ \frac{(n-2) \times 180}{n} + 87 = \frac{(n+2-2) \times 180}{n+2} ] Solving this equation will yield the value of ( n ), which is 7.
70 and 80 degrees
Because the sum of the interior angles of a triangle must equal 180 degrees, the third angle must equal 180-80-60 = 40 degrees.
Any angle between 0 degrees and 90 degrees is called an "acute" angle.